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4 years ago

45/4140 show the work

Mathematics

1 answer:

kicyunya [14]4 years ago

6 0

1/92

what is the number we can divide both 45 and 4140 by. it is 45. divide.

45/45=1

4140/45=92

the answer is 1/92

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Please help me with this question

bixtya [17]

42/45 with in simplest form would equal to 1 14/42

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3 years ago

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A circle is divided into 18 parts. How many degrees is for each angle?

devlian [24]

360/18= 20

so the answer is 20 degrees

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3 years ago

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What are the zeros of the graphed function?

Zanzabum

Answer:

Option C

Step-by-step explanation:

Zeros of a function are also called as x-intercepts of a function, which means where the graph/function intersects the x-axis.

In the image we see the graph intersects the x-axis at three points

x=0 , x=2 , x=4 so our answer is option C

6 0

3 years ago

3x+4y=5

KonstantinChe [14]

3x + 4y = 5
2x - 5y = 8

To answer this question, we need to put both of these equations into Slope-Intercept form, or in other words, solve for y.

3x + 4y = 5 Subtract 3x from both sides
4y = -3x + 5 Divide both sides by 4
y = $-\frac{3}{4}$ + $\frac{5}{4}$

2x - 5y = 8 Subtract 2x from both sides
-5y = -2x + 8 Divide both sides by -5
y = $\frac{2}{5}$ - $\frac{8}{5}$

When you look at the two equations, you can see that their slopes are completely different, so they aren't parallel, or inconsistent. Since $\frac{2}{5}$ is not the same as<span> $-\frac{3}{4}$ , they aren't the same line, or dependent. So, the only option left is that they are consistent and independent.</span>

4 0

3 years ago

As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

So plugging in all the known values in the formula , we get

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

6 0

3 years ago